Question

Writing an equation for a function after a vertical and horizontal translation. (See picture)

Answer 1

Given:

Given that a graph of the function

`f(x)=x^2`

Required:

To find the function h(x) in the graph.

Step-by-step explanation:

The graph of h(x) is horizontal translate left 2 units.

Therefore,

`\begin{gathered} h(x)=(x-(-2))^2 \\ \\ =(x+2)^2 \end{gathered}`

And vertical translate upward 4 units.

So,

`h(x)=(x+2)^2+4`

Final Answer:

`h(x)=(x+2)^2+4`